Some Recent Developments in the study of minimal 2-spheres in spheres
نویسنده
چکیده
We discuss recent progress in the study of the space of harmonic maps from the 2sphere to the unit n-sphere in Euclidean (n+1)-space. We consider the structure of this space as an algebraic variety, the existence of non-manifold points in this space, and the relation between this question and the integrability of Jacobi fields along harmonic maps. One of the main tools used is that of the twistor lift of a harmonic map, which which replaces a harmonic map by a holomorphic horizontal map into a Kähler manifold.
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